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Finding the Fourth Proportional to 895.62, 1,235.02 and 708.81

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Solution

The fourth proportional to 895.62, 1,235.02 and 708.81 is: 977.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.62 : 1,235.02 = 708.81 : x
  2. Step 2: Convert to fraction form
    895.62/1,235.02 = 708.81/x
  3. Step 3: Cross multiply
    895.62x = 1,235.02 × 708.81
  4. Step 4: Simplify right side
    895.62x = 875,390.98
  5. Step 5: Solve for x
    x = 875,390.98/895.62
  6. Step 6: Final answer
    x = 977.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.